RROD again, DVD drive switching question.

My xbox broken down in March this year and I use the llawdawgs Xclamp Mod. that worked for about 3 month no problem, then freezing started to happened in middle of game. so I took apart and redo it again. but it don't work as good as the first time, after 20 min of game play it freezed again. I even got the Talismoon Whisper Fan. I don't know know what to do now, I am thinking of buying a new 360, can I still play my backup (self own) game if I swap my current Modded LG drive to the new system, will it work?